Zeitschrift für Physik B Condensed Matter

, Volume 42, Issue 2, pp 151–154 | Cite as

On the nonequilibrium phase transition in reaction-diffusion systems with an absorbing stationary state

  • H. K. Janssen


It is pointed out that chemical reactions which show an absorbing stationary state in the master-equation approach (e.g. Schlögl's first reaction) exhibit nevertheless a second order phase transition in non-zero dimensional macroscopic systems. The relation to Reggeon field theory is given more directly than by Grassberger et al. using the functional integral formalism of statistical dynamics. As a new result the correlation length exponent ν and the order parameter exponent β are found toO2) in an ɛ-expansion around the upper critical dimensiondc=4.


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Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • H. K. Janssen
    • 1
  1. 1.Institut für Theoretische Physik IIIUniversität DüsseldorfDüsseldorfFederal Republic of Germany

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